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Finding the Fourth Proportional to 13,385.36, 20,077.52 and 3,390

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Solution

The fourth proportional to 13,385.36, 20,077.52 and 3,390 is: 5,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.36 : 20,077.52 = 3,390 : x
  2. Step 2: Convert to fraction form
    13,385.36/20,077.52 = 3,390/x
  3. Step 3: Cross multiply
    13,385.36x = 20,077.52 × 3,390
  4. Step 4: Simplify right side
    13,385.36x = 68,062,792.80
  5. Step 5: Solve for x
    x = 68,062,792.80/13,385.36
  6. Step 6: Final answer
    x = 5,084.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.